{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cluster Analysis\n",
    "<hr>\n",
    "\n",
    "### Agenda\n",
    "1. Introduction to Unsupervised Learning\n",
    "2. Clustering\n",
    "3. Similarity or Distance Calculation\n",
    "4. Clustering as an Optimization Function\n",
    "5. Types of Clustering Methods\n",
    "6. Partitioning Clustering - KMeans & Meanshift\n",
    "7. Hierarchial Clustering - Agglomerative\n",
    "8. Density Based Clustering - DBSCAN\n",
    "9. Measuring Performance of Clusters\n",
    "10. Comparing all clustering methods\n",
    "\n",
    "<hr>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Introduction to Unsupervised Learning\n",
    "* Unsupervised Learning is a type of Machine learning to draw inferences from unlabelled datasets.\n",
    "* Model tries to find relationship between data.\n",
    "* Most common unsupervised learning method is clustering which is used for exploratory data analysis to find hidden patterns or grouping in data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Clustering\n",
    "* A learning technique to group a set of objects in such a way that objects of same group are more similar to each other than from objects of other group.\n",
    "* Applications of clustering are as follows\n",
    "  - Automatically organizing the data\n",
    "  - Labeling data\n",
    "  - Understanding hidden structure of data\n",
    "  - News Cloustering for grouping similar news together\n",
    "  - Customer Segmentation\n",
    "  - Suggest social groups"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Generating natural cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22626e3fa58>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2262039e080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X,y = make_blobs(n_features=2, n_samples=1000, centers=3, cluster_std=1, random_state=3)\n",
    "plt.scatter(X[:,0], X[:,1], s=5, alpha=.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Distance or Similarity Function\n",
    "* Data belonging to same cluster are similar & data belonging to different cluster are different. \n",
    "* We need mechanisms to measure similarity & differences between data. \n",
    "* This can be achieved using any of the below techniques.\n",
    "\n",
    " - Minkowiski breed of distance calculation: \n",
    " \n",
    " <img src=\"https://wikimedia.org/api/rest_v1/media/math/render/svg/4060cc840aeab9e41b5e47356088889e2e7a6f0f\">\n",
    " \n",
    " - Manhatten (p=1), Euclidian (p=2)\n",
    " \n",
    " - Cosine: Suited for text data\n",
    " \n",
    " <img src=\"https://wikimedia.org/api/rest_v1/media/math/render/svg/1d94e5903f7936d3c131e040ef2c51b473dd071d\"> "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.pairwise import euclidean_distances,cosine_distances,manhattan_distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = [[0, 1], [1, 1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.],\n",
       "       [1., 0.]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "euclidean_distances(X, X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.        ],\n",
       "       [1.41421356]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "euclidean_distances(X, [[0,0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.        , 0.29289322],\n",
       "       [0.29289322, 0.        ]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cosine_distances(X,X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 1.],\n",
       "       [1., 0.]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "manhattan_distances(X,X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Clustering as an Optimization Problem\n",
    "* Maximize inter-cluster distances\n",
    "* Minimize intra-cluster distances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5. Types of Clustering\n",
    "* Partitioning methods\n",
    "  - Partitions n data into k partitions\n",
    "  - Initially, random partitions are created & gradually data is moved across different partitions.\n",
    "  - It uses distance between points to optimize clusters.\n",
    "  - KMeans & Meanshift are examples of Partitioning methods\n",
    "* Hierarchical methods\n",
    "  - These methods does hierarchical decomposition of datasets.\n",
    "  - One approach is, assume each data as cluster & merge to create a bigger cluster\n",
    "  - Another approach is start with one cluster & continue splitting\n",
    "* Density-based methods\n",
    "  - All above techniques are distance based & such methods can find only spherical clusters and not suited for clusters of other shapes.\n",
    "  - Continue growing the cluster untill the density exceeds certain threashold."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6. Partitioning Method\n",
    "#### KMeans\n",
    "* Minimizing creteria : within-cluster-sum-of-squares.\n",
    "\n",
    "<img src=\"https://github.com/awantik/machine-learning-slides/blob/master/kmeans2.png?raw=true\">\n",
    "\n",
    "* The centroids are chosen in such a way that it minimizes within cluster sum of squares.\n",
    "\n",
    "* The k-means algorithm divides a set of $N$ samples $X$ into $K$ disjoint clusters $C$, each described by the mean  of the samples in the cluster. $\\mu$\n",
    "\n",
    "<img src=\"https://cssanalytics.files.wordpress.com/2013/11/cluster-image.png\" width=\"300px\">\n",
    "\n",
    "##### KMeans Algorithm\n",
    "1. Initialize k centroids.\n",
    "2. Assign each data to the nearest centroid, these step will create clusters.\n",
    "3. Recalculate centroid - which is mean of all data belonging to same cluster.\n",
    "4. Repeat steps 2 & 3, till there is no data to reassign a different centroid.\n",
    "\n",
    "Animation to explain algo - http://tech.nitoyon.com/en/blog/2013/11/07/k-means/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs, make_moons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "X,y = make_blobs(n_features=2, n_samples=1000, cluster_std=.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22626f5ad68>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22626ef4c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans, MeanShift"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=3, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x226277e5d30>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x226273856d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10, c=kmeans.predict(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_moons(n_samples=1000, noise=.09)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22627848da0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x226273b3da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=2, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x226278bb390>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22627816a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10, c=kmeans.predict(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Limitations of KMeans\n",
    "* Assumes that clusters are convex & behaves poorly for elongated clusters.\n",
    "* Probability for participation of data to multiple clusters.\n",
    "* KMeans tries to find local minima & this depends on init value."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Meanshift\n",
    "* Centroid based clustering algorithm.\n",
    "* Mode can be understood as highest density of data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "centers = [[1, 1], [-.75, -1], [1, -1], [-3, 2]]\n",
    "X, _ = make_blobs(n_samples=10000, centers=centers, cluster_std=0.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22627925160>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22626ed6240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "ms = MeanShift()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=4, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MeanShift(bandwidth=None, bin_seeding=False, cluster_all=True, min_bin_freq=1,\n",
       "     n_jobs=None, seeds=None)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ms.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22627c6e908>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22627df1748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10, c=ms.predict(X))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2262856dcc0>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22627d91940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10, c=kmeans.predict(X))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7. Hierarchial Clustering\n",
    "* A method of clustering where you combine similar clusters to create a cluster or split a cluster into smaller clusters such they now they become better.\n",
    "* Two types of hierarchaial Clustering\n",
    "  - Agglomerative method, a botton-up approach.\n",
    "  - Divisive method, a top-down approach."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Agglomerative method\n",
    "* Start with assigning one cluster to each data. \n",
    "* Combine clusters which have higher similarity.\n",
    "* Differences between methods arise due to different ways of defining distance (or similarity) between clusters. The following sections describe several agglomerative techniques in detail.\n",
    "  - Single Linkage Clustering\n",
    "  - Complete linkage clustering\n",
    "  - Average linkage clustering\n",
    "  - Average group linkage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22628589978>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22627a37cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_moons(n_samples=1000, noise=.05)\n",
    "plt.scatter(X[:,0], X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import AgglomerativeClustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "agc = AgglomerativeClustering(linkage='single')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AgglomerativeClustering(affinity='euclidean', compute_full_tree='auto',\n",
       "            connectivity=None, linkage='single', memory=None, n_clusters=2,\n",
       "            pooling_func='deprecated')"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agc.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x226281776d8>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x226285a1cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10,c=agc.labels_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 8. Density Based Clustering - DBSCAN\n",
    "* "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "centers = [[1, 1], [-1, -1], [1, -1]]\n",
    "X, labels_true = make_blobs(n_samples=750, centers=centers, cluster_std=0.4,\n",
    "                            random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2262887e748>"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22629bc2c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import DBSCAN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "X = StandardScaler().fit_transform(X)\n",
    "\n",
    "db = DBSCAN(eps=0.3, min_samples=10).fit(X)\n",
    "core_samples_mask = np.zeros_like(db.labels_, dtype=bool)\n",
    "core_samples_mask[db.core_sample_indices_] = True\n",
    "labels = db.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x22629936f28>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22629b4add8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0], X[:,1],s=10,c=labels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 9. Measuring Performance of Clusters\n",
    "* Two forms of evaluation \n",
    "* supervised, which uses a ground truth class values for each sample.\n",
    "  - completeness_score\n",
    "  - homogeneity_score\n",
    "* unsupervised, which measures the quality of model itself\n",
    "  - silhoutte_score\n",
    "  - calinski_harabaz_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### completeness_score\n",
    "- A clustering result satisfies completeness if all the data points that are members of a given class are elements of the same cluster.\n",
    "- Accuracy is 1.0 if data belonging to same class belongs to same cluster, even if multiple classes belongs to same cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.cluster import completeness_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "completeness_score( labels_true=[10,10,11,11],labels_pred=[1,1,0,0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The acuracy is 1.0 because all the data belonging to same class belongs to same cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3836885465963443"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "completeness_score( labels_true=[11,22,22,11],labels_pred=[1,0,1,1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The accuracy is .3 because class 1 - [11,22,11], class 2 - [22]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0\n"
     ]
    }
   ],
   "source": [
    "print(completeness_score([10, 10, 11, 11], [0, 0, 0, 0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### homogeneity_score\n",
    "- A clustering result satisfies homogeneity if all of its clusters contain only data points which are members of a single class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics.cluster import homogeneity_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "homogeneity_score([0, 0, 1, 1], [1, 1, 0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999999"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "homogeneity_score([0, 0, 1, 1], [0, 1, 2, 3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "homogeneity_score([0, 0, 0, 0], [1, 1, 0, 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Same class data is broken into two clusters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### silhoutte_score\n",
    "* The Silhouette Coefficient is calculated using the mean intra-cluster distance (a) and the mean nearest-cluster distance (b) for each sample.\n",
    "* The Silhouette Coefficient for a sample is (b - a) / max(a, b). To clarify, b is the distance between a sample and the nearest cluster that the sample is not a part of."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Example : Selecting the number of clusters with silhouette analysis on KMeans clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "X, Y = make_blobs(n_samples=500,\n",
    "                  n_features=2,\n",
    "                  centers=4,\n",
    "                  cluster_std=1,\n",
    "                  center_box=(-10.0, 10.0),\n",
    "                  shuffle=True,\n",
    "                  random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x275e5d9abe0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x275e5aef048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,0],X[:,1],s=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "range_n_clusters = [2, 3, 4, 5, 6]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "from sklearn.metrics import silhouette_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 0.7049787496083262\n",
      "3 0.5882004012129721\n",
      "4 0.6505186632729437\n",
      "5 0.5743946554642041\n",
      "6 0.44289289433684664\n"
     ]
    }
   ],
   "source": [
    "for n_cluster in range_n_clusters:\n",
    "    kmeans = KMeans(n_clusters=n_cluster)\n",
    "    kmeans.fit(X)\n",
    "    labels = kmeans.predict(X)\n",
    "    print (n_cluster, silhouette_score(X,labels))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Optimal number of clusters seems to be 2\n",
    "\n",
    "#### calinski_harabaz_score\n",
    "* The score is defined as ratio between the within-cluster dispersion and the between-cluster dispersion."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 1604.112286409658\n",
      "3 1809.991966958033\n",
      "4 2704.4858735121093\n",
      "5 2263.560105507826\n",
      "6 2035.4407309952178\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import calinski_harabaz_score\n",
    "\n",
    "for n_cluster in range_n_clusters:\n",
    "    kmeans = KMeans(n_clusters=n_cluster)\n",
    "    kmeans.fit(X)\n",
    "    labels = kmeans.predict(X)\n",
    "    print (n_cluster, calinski_harabaz_score(X,labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
